[Social Engineering] "I could bring down your Government with six words."

[Refplace]

It was him creating a Meme. We saw in a later episode how the media had picked it up and everyone believed she was unable to handle the job of Prime Minister. So he instantly made the concept roll on inventing the meme.
Quick Gadgteer to reduce the time for invention, fair enough I think to say the Doctor has full Quick Gadgeteering as an advantage.
So -7 for no Software.
From the Table in TS: Toxic Memes (p. 128)
High Durability and Infectiousness, -8
Time taken, -10 (not in the table)
1 Vector +1
You could try the Quick and Simple method but the audience is too large.
So skill -24 with environmental mods and possibly a penalty for not spending any money on it. Free Press lets him spread it around that way so a penalty to get them to carry the message for you is reasonable, lets say -5 for a total of -29 skill.